{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Compartmentalization via eigendecomposition"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-05-08T02:16:48.162807Z",
     "start_time": "2018-05-08T02:16:46.522710Z"
    }
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "from matplotlib.gridspec import GridSpec\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib as mpl\n",
    "import seaborn as sns\n",
    "mpl.style.use('seaborn-white')\n",
    "\n",
    "import multiprocess as mp\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import bioframe\n",
    "import cooltools\n",
    "import cooler"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-05-08T02:16:48.595161Z",
     "start_time": "2018-05-08T02:16:48.164805Z"
    }
   },
   "outputs": [],
   "source": [
    "mm9 = bioframe.fetch_chromsizes('mm9')\n",
    "chromsizes = bioframe.fetch_chromsizes('mm9')\n",
    "chromosomes = list(chromsizes.index)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-05-08T02:16:48.625724Z",
     "start_time": "2018-05-08T02:16:48.597582Z"
    }
   },
   "outputs": [],
   "source": [
    "conditions = ['WT', 'T', 'dN']\n",
    "binsize = 100000\n",
    "\n",
    "cooler_paths = {    \n",
    "    'WT' : f'data/UNTR.{binsize}.cool',\n",
    "    'T'  : f'data/TAM.{binsize}.cool',\n",
    "    'dN' : f'data/NIPBL.{binsize}.cool',\n",
    "}\n",
    "long_names = {\n",
    "    'WT': 'Wildtype',\n",
    "    'T' : 'TAM',\n",
    "    'dN': 'NipblKO',\n",
    "}\n",
    "pal = sns.color_palette('colorblind')\n",
    "colors = {\n",
    "    'WT': pal[0],\n",
    "    'T' : '#333333',\n",
    "    'dN': pal[2],\n",
    "}\n",
    "\n",
    "clrs = {\n",
    "    cond: cooler.Cooler(cooler_paths[cond]) for cond in conditions\n",
    "}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Get binned GC-content (proxy for the \"A\" phase)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-05-08T02:17:35.395707Z",
     "start_time": "2018-05-08T02:16:49.387136Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>chrom</th>\n",
       "      <th>start</th>\n",
       "      <th>end</th>\n",
       "      <th>GC</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>chr1</td>\n",
       "      <td>0</td>\n",
       "      <td>100000</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>chr1</td>\n",
       "      <td>100000</td>\n",
       "      <td>200000</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>chr1</td>\n",
       "      <td>200000</td>\n",
       "      <td>300000</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>chr1</td>\n",
       "      <td>300000</td>\n",
       "      <td>400000</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>chr1</td>\n",
       "      <td>400000</td>\n",
       "      <td>500000</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "  chrom   start     end  GC\n",
       "0  chr1       0  100000 NaN\n",
       "1  chr1  100000  200000 NaN\n",
       "2  chr1  200000  300000 NaN\n",
       "3  chr1  300000  400000 NaN\n",
       "4  chr1  400000  500000 NaN"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "bins = cooler.binnify(mm9, binsize)\n",
    "fasta_records = bioframe.load_fasta('data/mm9.fa')\n",
    "bins['GC'] = bioframe.tools.frac_gc(bins, fasta_records)\n",
    "bins.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-05-08T02:17:35.937439Z",
     "start_time": "2018-05-08T02:17:35.397999Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x7f49199284e0>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f49199ee940>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_=plt.hist(bins['GC'].dropna(), range=(0.2, 0.6), bins=100)\n",
    "plt.xlabel('GC content')\n",
    "plt.title(f'mm9, {binsize//1000}kb bins')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Compute eigenvectors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-05-08T02:17:59.881575Z",
     "start_time": "2018-05-08T02:17:35.939207Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "bedGraphToBigWig /tmp/tmp_k979fat.bg /tmp/tmpdsfw26i1.chrom.sizes data/Wildtype.100kb.eigs.cis.vecs.E1.bw\n",
      "bedGraphToBigWig /tmp/tmpvygdsjvy.bg /tmp/tmprf3fi3gj.chrom.sizes data/TAM.100kb.eigs.cis.vecs.E1.bw\n",
      "bedGraphToBigWig /tmp/tmpibx6m9g8.bg /tmp/tmpblzcmzh9.chrom.sizes data/NipblKO.100kb.eigs.cis.vecs.E1.bw\n"
     ]
    }
   ],
   "source": [
    "from cooltools.eigdecomp import cooler_cis_eig\n",
    "\n",
    "lam = {}\n",
    "eigs = {}\n",
    "\n",
    "for cond in conditions:\n",
    "    lam[cond], eigs[cond] = cooler_cis_eig(\n",
    "        clrs[cond], \n",
    "        bins,\n",
    "        n_eigs=3, \n",
    "        phasing_track_col='GC', \n",
    "        sort_metric='var_explained')\n",
    "    \n",
    "    # Save text files\n",
    "    lam[cond].to_csv(f'data/{long_names[cond]}.{binsize//1000}kb.eigs.cis.lam.txt', sep='\\t')\n",
    "    eigs[cond].to_csv(f'data/{long_names[cond]}.{binsize//1000}kb.eigs.cis.vecs.txt', sep='\\t', index=False)\n",
    "    \n",
    "    # Save bigwig track\n",
    "    bioframe.to_bigwig(eigs[cond], mm9, f'data/{long_names[cond]}.{binsize//1000}kb.eigs.cis.vecs.E1.bw', 'E1')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-05-08T02:18:26.631050Z",
     "start_time": "2018-05-08T02:18:25.412915Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0x7f4915fcccf8>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4911a0edd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.stats import rankdata\n",
    "\n",
    "gs = plt.GridSpec(nrows=1, ncols=2)\n",
    "plt.figure(figsize=(16, 6))\n",
    "condx, condy = 'WT', 'dN'\n",
    "\n",
    "plt.subplot(gs[0])\n",
    "lo, hi = -2 , 2\n",
    "plt.hexbin(\n",
    "    eigs[condx]['E1'],\n",
    "    eigs[condy]['E1'],\n",
    "    vmax=50,\n",
    ")\n",
    "plt.xlabel('E1 ' + long_names[condx])\n",
    "plt.ylabel('E1 ' + long_names[condy])\n",
    "plt.gca().set_aspect(1)\n",
    "plt.xlim(lo, hi)\n",
    "plt.ylim(lo, hi)\n",
    "plt.axvline(0, c='b', lw=0.5, ls='--')\n",
    "plt.axhline(0, c='b', lw=0.5, ls='--')\n",
    "plt.plot([lo, hi], [lo, hi], c='b', lw=0.5, ls='--')\n",
    "plt.colorbar(shrink=0.6)\n",
    "\n",
    "\n",
    "plt.subplot(gs[1])\n",
    "mask = eigs[condx]['E1'].notnull() & eigs[condy]['E1'].notnull() \n",
    "vx = eigs[condx]['E1'].loc[mask].values\n",
    "vy = eigs[condy]['E1'].loc[mask].values\n",
    "lo, hi = 0 , len(vx)\n",
    "\n",
    "plt.hexbin(\n",
    "    rankdata(vx),\n",
    "    rankdata(vy),\n",
    "    vmax=20,\n",
    ")\n",
    "plt.xlabel('E1 rank ' + long_names[condx])\n",
    "plt.ylabel('E1 rank ' + long_names[condy])\n",
    "plt.gca().set_aspect(1)\n",
    "plt.xlim(lo, hi)\n",
    "plt.ylim(lo, hi)\n",
    "plt.plot([lo, hi], [lo, hi], c='b', lw=0.5, ls='--')\n",
    "plt.colorbar(shrink=0.6)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The \"saddle\" plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-05-08T02:20:04.809979Z",
     "start_time": "2018-05-08T02:19:55.976154Z"
    },
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/net/proteome/home/nezar/local/devel/cooltools/cooltools/saddle.py:109: RuntimeWarning: invalid value encountered in true_divide\n",
      "  toeplitz(expected[chrom])\n",
      "/home/nezar/miniconda3/envs/py36/lib/python3.6/site-packages/ipykernel_launcher.py:42: RuntimeWarning: invalid value encountered in true_divide\n",
      "/home/nezar/miniconda3/envs/py36/lib/python3.6/site-packages/ipykernel_launcher.py:48: RuntimeWarning: divide by zero encountered in log10\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAs4AAAFDCAYAAAAqKoi3AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAIABJREFUeJzt3XusbOlZ3/nfulTVPqcvjhuE7QGFi4A3CAUrQxPaprnEwWTi4LhJYmnSiQgdOtgThUlslMhJRmT+YIZhYpuYZExohxbBESJETkfcYhQNUWR3pwkgjWg89is1BBkMaWx3u0+fPnvvuqyVP2rvPtV713qed5+16/Ku8/1IW91nv7VWvXV76tlVa/3eom1bAQAAALCVu54AAAAAkAMaZwAAACABjTMAAACQgMYZAAAASEDjDAAAACSgcQYAAAAS1LueQGbI7gN2r9j1BJANajawHwZTt/nEGQAAAEjAJ84X8Oov+qN65lO/2zlejg7UzI5uabzPtpseZ26339z3eW4s2oRUX/yFr9Ynf/+ZzvEro1KHs2Yj45vc95Dn5o0ztzznNqS6TeN8Ac986neld/5s53jz3j9/y+N9tt30OHO7/ea+z3MDUn3y95/Rx76ze/yrf7LZ2Pgm9z3kuXnjzC3PuQ0Jh2oAAAAACWicAQAAgAQ0zgAAAEACGmcAAAAgAY0zAAAAkIDGGQAAAEhA4wwAAAAkoHEGAAAAEtA4AwAAAAlonAEAAIAENM4AAABAAhpnAAAAIAGNMwAAAJCAxhkAAABIQOMMAAAAJKBxBgAAABLQOAMAAAAJaJwBAACABDTOAAAAQAIaZwAAACABjTMAAACQgMYZAAAASEDjDAAAACSgcQYAAAAS0DgDAAAACWicAQAAgAQ0zgAAAEACGmcAAAAgAY0zAAAAkIDGGQAAAEhA4wwAAAAkoHEGAAAAEtA4AwAAAAlonAEAAIAENM4AAABAAhpnAAAAIAGNMwAAAJCAxhkAAABIQOMMAAAAJKBxBgAAABLQOAMAAAAJaJwBAACABDTOAAAAQIJ61xPIRQihrutauvFs94X6jG9y38xtP8eZ2y2NhxC+RNLvxRjn3TvA7e60Zv/hUfdl6lobG9/kvoc8N2+cueU5t+8YUN0u2rbd9RyycPJm/V93PQ8AkqQvjTH+zq4ngf1FzQb2ziDqNp84p/s9SV+660kAkLR8PQIWajawXwZRt/nEGQAAAEjgfuIcQiglvV/SayUdS3o4xvj0yvibJX2/pLmkR2OMH9jQXAFg60IIXy/ph2KM33Lm93tZ+6jZAG5nm67ZKakaD0g6iDG+TtK7JL1nZRIjST8s6dskfbOk7wkhvOpWJgIA+yaE8Pck/QtJB2d+v8+1j5oN4La0jZqdcozz/ZI+LEkxxidDCPeujH2VpKdjjM+dTOyjkr5J0r+5lcnsixBCLemLtHIGaAhhIunrJP2BpMUOpwfczipJr5H0qzHGY+uCIYR7JN19gX1fizGejfL4LUl/QdIHz/x+n2sfNVvUbGCPJNXtXGp2SuN8t6TnV/69CCHUJ8Xp7NgLkl6xZh+tJL36i/6onvnU7150jltX17W+7Mu+TFqeWPI7J7/+Okkf2dWcALzMN0r6aNdgCOGeKwt99rC60D6fCyF8+WohjjF+6CSd4azU2rcLl1azv/gLX61P/v4zG5voZaFmA1norNs51eyUxvmapLtW/l2u5PCdHbtL0ue6dvTMp35XeufPXniSW3fjWemX/8+zv/0DSXrkLffpVXdeObdJdXBw7nerivHIvk5nvBhPugfrsb3vkT3ejp3ta+O6JbWV/TRqRt3bLyp73wvnti1Ke3xe2eOzqvtxm8rZtrEfs+OFvf2Rs/3htPt+PZzZ1eXZa4U5/vwLjTl+7drUHJ9O7e2nx91RnW1jn5B8cLX7fjm8/ox+5UMPSyevR8Pdh5X0vc9IfyThs8bPVdI/fZVeqWVxNQKmX3Kh2rdll1azP/n7z+hj33n5E7xsf3gkve3/O/frP5CkR//a/6RX3X3HucGidt6ha+ftsey5feW8J1Td+2+9mu/VZGf7xnnPsOp269yumVPzvXGv5h+re/vjhb3vI69mz+379UWjZkvSjWO7Ll97sXvshRfsuvm5580v4PTcZ4ydSzp60QhhljQ9mnWOjcb27Z4eflq//St/V7LrdjY1O6VxflzSmyX9TAjhPklPrYx9XNJXnHy8fl3Lj73ffSsTycBCkl515xX9D3dfPTdYXTnfTK8qJvYLsnCa12JiNOZOkZPVdEtqvfGR/UdBW9uFsjG2X9T2vudO075wG2N7+2nV/bhNjQIsSdPGKbJOkT5c2PfbjWn3+ItT+017MbJPX2hquzItCrtxro/t7aujW2+cr9zhNBRLSV+9v7Io9HmF/WYlSUXR6uRD1lT7XPuo2UvLmn33HfrCP3LnucFi5Lz9OXXNamyTtnf33z2/1vgwQur3YUbKuFW3G69xru33yqnxYYYkzd3GuXv7w4W978O5U7Pn9m2bHNv3+/jIOa3MuPq2dj6saO3G9/DoujnetIfmuIz3hNEkqWZLCXU7h5qd0jg/JumNIYQnJBWSHgohPCjpzhjjIyGEd0r6JS1PNHw0xvipW5kIAFy2oi5VlAlFuGyV0otnUvuo2QCylEPNdhvnGGMj6e1nfv2JlfGfk/Rzt3LlALBJZV2obPwiXBofBJ2sdHXfyf//1Mrv97L2UbMB5CqHms3KgQAGq6gLFW3K135bmAwAwJRDzaZxBjBYZVWoVMKnF1uYCwDAlkPNpnG+oOrgYO2JgNU99zgbeieiOOPWyYGSeaKJdwZ1O7b37Z3s0Tgn8Fnbz72TA52T+7zUDO9Ek1nbvf2stW/31EnFmDX2yUOzhTfeXRrGVasXj7vHF/Z5JGqc8cXCPuliZqRmSNJs2j3ubXt02H0SytH1G+a254ykIqEIX/AkE2SkqKvuEwEPzp/o/RKvJvc8+c9Ln7BO8HNPyPZqvnPd3knX1rhX070Ttr2T/2ZO2tG87b7fRuXcPGl73trt2Nw5hMAbb5zxtu2uQ15Nnk7t4329k7LnM7suLxbd+z9+zj4xcXZkJ3q8TAY1e6uNczk6UPPeP7/Nq7w1dS0tM0Hz4BVwDI7VNOOmsipUJnynV7YFvfMaV0alvvonnb+y9sAtlWyracYgeUlH2L0cavZWG+dmdpRzjjOAzFSjUpV1Fsnp5RpJdgLfbelw1uSc4wwgMznUbA7VADBYRVmkRRslfTUIANikHGo2jTOAwSqqUkXCpxekagDA7uVQs2mcAQxWURYqq/3+9AIAsJRDzaZxBjBYRam0r/04MRAAdi6Hmk3jDGCwyirt04uU3FAAwGblULNpnAEMVlEWKlK+9ktYqQoAsFk51GxynNcxQkGL8UjFZE0Au7fAydgObVdpL4Zhjbc9tk3S8yh8awGUtug3t9b5q7MwAuUlqTCCIEvZ+bWF811R3/Gy7B6/68pCN4ws5/HIvl8ODuyTLyYT73Gxn89W1n5V2de9MFZvqUcXe74UZeKJJsZ9fTsbRI5zXa/PuvcWOPFqek+tV1eN521bOM9pZ9yrmx73+nvt21skpN/4PrNueuU0k15d9WrnaOwsijPrXgBldmznws2nM3N8VQ41mxzndchxxp6zmmbclBxtlHCZ2xE5zgC2KYeazaEaAAarSDxejkM1AGD3cqjZNM4ABqsoEj+9IMgZAHYuh5pN4wxgsJZf+6UcL7f/x/ECwNDlULNpnAEMVg7HywEAlnKo2TTOAAarTFyFqlzQOAPAruVQs2mcAQxWDp9eAACWcqjZNM4XNR6pWJfJ7GWCelnK63JGV7RVnxxnJ9PT297LBC3t2160t34sUuPMzcsTdbNSjShIK+M5Zbwu7NtdOTnO1vhdBwtdP+6+b0ZeRK1zCNnBlX752vN59wSsnGZJevH5o86xZn7B51JiJqj3GkHGykpaVz+dmutya7az/z61a8MnRm0yp9l7Pyh7vF9Idj5+ucGaLEm1ky1sZfNLUmU0g3VtP+Z1bT9mpVP0S6cRtXKex1cm5rZF4axj8fKJ7H3NZgGUdcw0fWD3rKYZN+Xw6cU+G8QCKACykUPNZgGUdVgABRiEokgrsKTRrccCKAC2KYeazaEaAAYrh08vAABLOdRsGmcAg1WNKlUj/7CWqtn/wxEAYOhyqNk0zgAGK4dVqAAASznUbBpnAMOVwRnaAIATGdRsGmcAg1WUiSea0DcDwM7lULNpnC+oGE9UTA7OD8ym0p132xsbmcRWTvNy2+6HqmhbtZXxUDaNWiNztGgWaurunEU359lhZYJWzVSLsvu6R/Njzavu8b6ZoKW6x8ui0dx4iVypjjRruu/XulrouOmee13acxtV3eOvvNrocNb9uByMGr1w2D3+BfdI117sLk7zuZMx6xxeNjfzlitNp4vO0Vd83lXduD5dv9/pxUpWDieaYMPqen3m8mwqXbmj166trGY/H995zhl1s2gWaqyc6GZhvyf0ZNXden6keb3mPfJ0vJlpXnbPfbQ40qzq3t6q2d74QXls1uSr9ZGOFt3jd4ynOjYy6uvKzmke1/b4aNT9nPi8V5a6/mL39l/0hVf06c+sr5uSdPUOO0t5MeuuyZJUVrPOscnVia49e61zvJmn9xA51GxynNe5lVDQHk1zX16BtJpmSWbTvGlW0yzJbJo3zWqaJZlNsySzQPdlNc2SzKZZspvmTbOaZkmdTfOtKIq0r/0KPnJea9A5zhtsmjfNbJrlvydsktU0SzKbZklm09yXV5OtplmS2TRvmtU0SzKb5k2zmuaLyqFmk+O8DjnOwCDk8OnFPiPHGcA25VCzOVQDwGAViSeaJJ2MAgDYqBxqNo0zgOEqirQlpoijA4Ddy6Bm0zgDGKwclm8FACzlULNpnAEMVg5f+wEAlnKo2TTOAIYr8UQTcXIgAOxeBjWbxhnAYOXw6QUAYCmHmk2O8zpWKGg9lkZrsh6drGQvDN8Ny++xeIofxO8sdiH7L7vWOdjI297iLXBSyM62dLcvjAVQvKB9Y9vLGLcWSLlr0uhw1v3yHY+cIH4jaF+SDg7s8ab1ipaxMExtbzszcp7n44sVy6JIjDbiIOe1BpHjXI3W1mcvh9mra+7SZd72zhu/tXDUPutbs8vWznmvyrk5vlD3+93I27a13yubyn5M6oW3qJX9nJgYT8kjp1ubTOy5Hx3Zc59ctTOsm7b7cTu4amdvl5qY46tyqNnkOK9DjjP2nNU046YcMkH3GTnOALYph5rNuy+A4SoL95O9ly4HANitDGo2jTOAwSqKIukrPQ7VAIDdy6Fmu41zCKGU9H5Jr5V0LOnhGOPTK+N/WdLfkTSX9JSkvxlj3P+D4gAMXg4nmlw2ajaAXOVQs1Ou+QFJBzHG10l6l6T3nA6EEK5I+gFJfyrG+A2SXiHp2zcxUQC4qKKqVNQJP84JtpmhZgPIUg41O6Vxvl/ShyUpxvikpHtXxo4lvT7GeOPk37Wko0udIQDcoqK8ebKJ/bPrmV4qajaALOVQs1OOcb5b0vMr/16EEOoY4/zk671nJCmE8L2S7pT0Hy5/mgBwC4pSRUqFHVbnTM0GkKcManZK43xN0l0r/y5jjC+FIZ4cT/d/S/pKSX8xxmiHNOZuNJbG5zMJm9rOQLRymJfjTqZnjxxod1svh3mDT9DCyUrum9Ncys4ELQvrvrEzPxvnfqkK+7pH3mPedj8uo8lCR4vul+/x3N73lYl9v87m9nNibEfgqnVznrtdtfJEZ84Vn1UUaWdfD+vkQGr2qqqSqvOvlXbN717GzVnul/Ps1lVr/xt+vvbJYvZymMvGHrey9SWpMPKEJTt/33s/8Wp25TxmEyfnee5k2NdV9/wmYycDeuLU/Kt27Vws7PumbbrHrTFJKks75/llMqjZKY3z45LeLOlnQgj3aXkyyaof0/Lrvwe8E0wGsQDKHnIXOMHgWE0zbsrhRJMNuLSaPYgFUABkI4eanfLu+5ikN4YQnpBUSHoohPCgll/x/Zqk75b0EUm/HEKQpPfFGB9btyMWQAGwTTmE6W/ApdVsFkABsE051Gy3cT75ROLtZ379iZX/H9RHNQAGpCjSjoUb0KEa1GwA2cqgZvN9L4DByuHTCwDAUg41m8YZwHAVZdryrcNK1QCAPGVQs2mcAQxWDsu3AgCWcqjZNM4AhqtM/PRiWKkaAJCnDGo2jTOAwepzvNxJ3vH7Jb1Wy/i2h2OMT6+Mv0PSw5I+ffKrt8UY4yVMGwBuSznU7K02zkPIcW7HY7VrFkBpxxcI+F633x4LnPhB+94CJ04OdN8g/w1yF0hxxq2wfm+BE2/fo8JeQGXh3O+lsRDA1Xqq40V3oP3ByA7ynzdOmL4Ttm8tzuKp3E8KjKB+4zav1e8M7QckHcQYX3eSh/weSW9ZGf9aSd8ZY/z1i00qH0PIcW7rsdrRmppd28+lXguUpGzvMRdA8ebW77q9RUa8BVIs3gIpVWvXTW9xJatue++FXs1vK3v7RWvX9Imz+Mt01H393qJUXs2eH9hzm89uvR1cLOznQzO/QN3OoGZvtXEmxxm4HFbTjBX9VqG6X9KHJSnG+GQI4d4z418r6e+HEF4t6RdijD/Yb7L7hxxnAFuVQc3mwD4Ag1UUZfLPGndLen7l34sQwuqHDT+tZV7yGyTdH0L49s3dEgAYvhxqNo0zgOEqi/Sf865Jumt1bzHGuSSFEApJ/yTG+JkY41TSL0j6Exu/PQAwZBnUbBpnAINVlGXyzxqPS3qTJJ0cL/fUytjdkn4zhHDnSUF+g6TBHusMANuQQ80mVQPAcBVKW5p1/UUek/TGEMITJ5d4KITwoKQ7Y4yPhBD+gaT/qOXZ2/9vjPEXL2nWAHB7yqBm0zgDGK6ykionNeb0cmfEGBstj4db9YmV8Q9K+mC/CQIAXpJBzaZxBjBc3V/pnbscAGDHMqjZ5DivY4WC1hO1o/OZzU3lxIN5Xz14+ZFGjnPb8Z3FS+M9Mz+97Mukr1U2xM0blZ0vWRTd25fOtt6487BoXM6czbvnNqlmZiTdwslZHlf2/TYZ2ePujTPGZ86HCY2R0zqbXLBYFmViJiiN8zpDyHFWVautzr/VNfXY3mnP54RbN/vwanbf94Q+3JrsZUTfeva+ZOffezW7Kux9L5zTwrzta6fZG9fd8xvV9mN6MLHHpzMnB3rirCuQEhHXoWid19rLLrz/NZsc53XIccaeI8c5Uam0TFD65rXIcQawVRnUbA7VADBYhTrzPs9dDgCwWznUbBpnAMPVnfd5/nIAgN3KoGbTOAMYrgyOlwMAnMigZtM4AxiuokjMBOUTZwDYuQxqNo0zgOEqi7TYIg7VAIDdy6Bm0zgDGK4MvvYDAJzIoGbTOF9QW9Vq6/NRYE096bffst9D0Scz1M95tvfdFHb+Y5/M0KL1spLt6/YyQ71MUEvr/MXbtnZkXCX7uq3HtK4XOlp0P+cmlb3vqbMy02TU76/51siRLpznk5UXuji84LyKxBNNOFRjsJp6rGZ0/rXSOtn7XhbyPuub0+y+nxhZy15N9VLBq8bOt/fmVjfT7jFNNS+NTOGeD3lT9cvXXhgZ9vOxve2xk8M8X3g3ztl+3j23prHfZxfHCSsBnsqgZrMAyjpmmv7+2WjQPvaS1TRjRQafXuyzQSyAApwwm2bshwxqNgugrMMCKMAwZHCiyT5jARQAW5VBzeZQDQDDlcGJJgCAExnUbBpnAMOVwacXAIATGdRsGmcAw5XB8XIAgBMZ1GwaZwDDVZRpX/vROAPA7mVQs2mcAQxXBl/7AQBOZFCzaZwBDFdRJH7tR+MMADuXQc0mx3kdIxS0GU3UjA7O/94J0/fGvYU+rED7XQf19wnbb9Xv6xZ3gRRn/4URx18492vpXHeluX3dhR0a3xhzv1ofatp0P6dmjR04P6rsuR8bYfeSNLGfztb6CKor+3496l6/QCPnes+pquVPyuVwzhBynJvR+gVQFlW/TN++i4x4rNpWWC+wBJvM/vdqsl9X7QVUqsauq1bJb40FRqSERa2cuU/cRbHs8bmxgMqktud+MLbH/QVQbNOZsTBVY7eS7ewCrWYGNZsc53XIccaes5pm3NQWRVKTwCJC65HjDGCbcqjZHKoBYMASz9Du+c0HAOAy7H/NpnEGMFwZHC8HADiRQc2mcQYwXIlf+9E4A8AeyKBm0zgDGK4MwvQBACcyqNk0zgCGK4NMUADAiQxqNo0zgOEqE1ehSrkMAGCzMqjZNM4XtKgmWtTnc5zna363qi12lzloZRVvQ5+s5o1npao7D9XLE21a+zF14opdpfG4HZTHWqj7+hdOxqWX8zyp7efMvHFunJEpumi8DNrubY8umMKXQ7QRNqurZns5zn1rj58x72xv1Ka++zaD1vdc2dh12cparjQzt22c92kvm79xnjN1aW8/Kruvf1zbt9vLeZ6N7NvmZUwbEdNqnffCxWH6aymHms0CKOtYafrAHrCaZqxKPEN7x4sI7ashLIACICf7X7NZAGUdFkABBqEtyqRPDjf9zUauWAAFwDblULPdxjmEUEp6v6TXSjqW9HCM8ek1l3tE0rMxxndd+iwB4FZkcKLJZaNmA8hWBjU7pWV/QNJBjPF1kt4l6T1nLxBCeJukP37JcwOAXk4/vUj5GRBqNoAs5VCzU675fkkflqQY45OS7l0dDCG8XtLXS/qxS58dAPRx+ulFys9wULMB5CmDmp3SON8t6fmVfy9CCLUkhRBeI+kfSfpbG5gbAPRzunyr+zOoxpmaDSBPGdTslJMDr0m6a+XfZYzxNFPlrZI+X9IvSnq1pKshhE/EGH/iUmcJALcgh2ijDaBmA8hSDjU7pXF+XNKbJf1MCOE+SU+dDsQYf0TSj0hSCOG7JP2xoRfgRT3WvJ6c+/28Ov+7i2iM/EZJKpzcTSvX08oDvQx9MkW945S8fXv52P7cuq+/UGu+OL2cZ3njzvc9o6I7c3SkmebGy7d2nk8TK5RTfsyrlwNtqUu74BVF92N2NL7gczmD5Vs3gJq9oq1GaqrzAeCFWs3qKzuY0cn1O7XJrS8W5wXs7bt3TnSP6268qy6822bU7MXCzGpui6l91YXdMnnvZ17Oc2PU5YWTlXzg5DS72fvOG9Lc2P3BpNCNo+7x6fgCTW4GNTulcX5M0htDCE9oGZz3UAjhQUl3xhgfuciVkeO8GZsscrezff4U0mqacVOrwlwQYfVyA3JpNXvIOc67bJqxG94CJ7g1VtN8UTnUbPfdN8bYSHr7mV9/Ys3lfsLbFznOALapLSq1pf9Hxi5X9rxsl1mzyXEGsE051Gw+tgIwWDkcLwcAWMqhZtM4Axiu1LzPYR3jDAB5yqBm0zgDGK4MVqECAJzIoGbTOAMYrNQVpga2ciAAZCmHmk3jDGCwWqWdfb3ZwEYAQIocajaNM4DByuHTCwDAUg41e6uN8xBynBflWItqfO738zW/W+X9BdVnIRBvgRMv59nf3vnbrvciJN32OSbMC/L3HlNv+7Ls3n6shRZt98t3VMw7xyRp4SyQsqj63e9F3f2cWRgLFEj27Z6MLvhcyuB4uX02hBznWTVZm9k867loVd/8fK/ulk13fXAXMHH27a4x0iMjt29ddBfs8haOabprX+EsnuLOzVicSZJaZ2EpdwEUq+aXdk0f186iVwtv0Sv7ttVV93OicOrn7MAcPruzva/ZW22cyXEGLofVNOOmVqVab4nGk8vhPHKcAWxTDjWbd18Ag9UqMRN0WCsHAkCWcqjZNM4ABmsZpp9yvByNMwDsWg41m8YZwGC1KhLP0KZxBoBdy6Fm0zgDGK4MVqECAJzIoGbTOAMYrOXXfgmfXnCoBgDsXA41m8YZwGDl8LUfAGAph5pN43xB82q8Nv9zWtlBhV4WsvfXU+llMRvjpfplfhZO6qebu9kjNmbTWamFlTnq3KzGyZhue+ZrW2rNNC9Hxrh9n1el/dIft3ZmaOl8TVY13eNuprmR83w0mpnbnttXBmH62KxZNVlbn+elk73fsyZ73CxmIzO4cl6f3vtN1divI29ulsa5W/z3i57b93hc3MfE2XdT2Pdr7eQ8W7Vx5tTsAyd7vxnZz+fCez8z6rKV8SxJ00n6Y55DzWYBlHWsNP091Le5RH6sphk35bB86z4bwgIoAPKRQ81mAZR1WAAFGIQ+n16EEEpJ75f0WknHkh6OMT69Mv5mSd8vaS7p0RjjBy5p2nuDBVAAbFMONZvvJwEM1unxcik/azwg6SDG+DpJ75L0ntOBEMJI0g9L+jZJ3yzpe0IIr9rCTQKAwcqhZtM4AxistqjUJPy064/vu1/ShyUpxvikpHtXxr5K0tMxxudijFNJH5X0TZu+PQAwZDnUbBpnAIN1Gm2U8rPG3ZKeX/n3IoRQd4y9IOkVm7kVAHB7yKFmk6oBYLDa1j4bfPVya1yTdNfKv8sY47xj7C5Jn7u1WQIApDxqNp84AxisVmXyzxqPS3qTJIUQ7pP01MrYxyV9RQjhnhDCWMuv/P7zpm8PAAxZDjWbT5wBDFbPMP3HJL0xhPCEpELSQyGEByXdGWN8JITwTkm/pOUHEI/GGD91eTMHgNtPDjWbHOd1jFDQWXWgaXXl/O9bO0zfD223h0tjERIrKF+SSifY3A/ityfnbm/NfYOLp0jOAifuts796mzvfd3kRu4YixRUzUwLK8vZ2fXCeU7IGS4b5zm1oXD6SXXBBVB6FOEYYyPp7Wd+/YmV8Z+T9HMXmlBmhpDjvCjHaxc7mclZACXh62KLVbMlqSpvfRGTtrVfX15N9hZ3qRpnAaTG2L/zfuEtUNJ3gRSLu7CLszBMx6ecN8f71j2jrE5KZ4GTHourSJK3gnVjvB7K0r7uw3F6DcmhZpPjvA45zthzZtOMl+SwfOs+I8cZwDblULM5VAPAYOVQhAEASznUbBpnAMPVFmlfuff8Wh4AcAkyqNk0zgAGq1XaJxObO6oSAJAqh5pN4wxgsHL42g8AsJRDzaZxBjBYORRhAMBSDjWbxhnAYLWJx8v1jR4DAPSXQ80mx3kdIxR0qrGmmpz7/ay148G8TE8vu7Ix8iG9fUu22rgqAAAbVUlEQVR2Jqe177T92wrjL0M3V7Pva8M5EMrLau61rXe/OpmhMiLnysWxmcXq/TVeF/Zzwtu+Ku3bXhvbu3mixoN20RznRoWahCdRymVuR0PIcT7WRMc6OPf7eWu//XlvzG6+vVM3F05YurW9W7OdbP+6mZrjXg689RounfutdDKivZxnj1U/vJpdWPnUyx2Yw5VX0x1WDvSosJ+vvXOcnTdLa/uxc91Ho/T7JYeaTY7zOuQ4Y895CxhgKYev/fYZOc4AtimHms2hGgCGK4NoIwDAiQxqNo0zgMHK4dMLAMBSDjWbxhnAYLVt2kkkLUHOALBzOdRsGmcAg9W0pZrWOdPp5HIAgN3KoWbTOAMYrObkJ+VyAIDdyqFm0zgDGKwcMkEBAEs51Gwa5wuaNSNNm/G5308bO8fZy/z0MhTrws6XtHI7vcxP77q9PNK2dHI7jezMpnWyTJ2cZ2+8Kbys1G5e5qeVuZmyfeEcpGXettY+OaJycpq9cS/uzhtfOI+rxXo+jpx5r99bSoGlcR6q48VEh4vzOc59nqOSn5Xs1dVRaT+Xre2915+bve/lNDtfg1cycnm9eHvnvdDj1fw+2fzevltvYYANfgzaVv1qsvs+7TyfrUa1Ke3ny5UL5e/vf812G+cQQinp/ZJeK+lY0sMxxqdXxr9O0nu1vBX/TdJfjTEerdvXEBZA2UfeEx7DQwpEmlaJn14M6P68zJo9hAVQAOQjh5qd8onzA5IOYoyvCyHcJ+k9kt4iSSGEQtIHJP2lGOPTIYSHJX2xpLhuRyyAAmCbcog22oBLq9ksgAJgm3Ko2SmnJd4v6cOSFGN8UtK9K2NfKemzkt4RQvhPku6JMa4twACwbU2b/jMg1GwAWcqhZqc0zndLen7l34sQwukn1Z8v6fWS/pmkb5X0p0MIb7jcKQLArTn99CLlZ0Co2QCylEPNTmmcr0m6a3WbGOPpWQ2flfR0jPHjMcaZlp9y3Ht2BwCwC6dh+v7Prmd6qajZALKUQ81OaZwfl/QmSTo5Xu6plbHflnRnCOHLT/79jZI+dqkzBIBbtCzCaT8DQs0GkKUcanbKyYGPSXpjCOEJLc/CfiiE8KCkO2OMj4QQvlvST52cdPJEjPEXNjhfAEjWqlCz5yeabAA1G0CWcqjZbuMcY2wkvf3Mrz+xMv7Lkv7kJc8LAHrLIUz/slGzAeQqh5q91QVQhpDjfLwY62gxOff7WWOH6Xuh77WTxbwwFvLwcpwrZ/EUd1EJ5/nZtvbiL5W69+9kukteIL2zCIkXWG+++Da8wEnhLe7ixOdagfdVYz+mdWEH0helPXdv4RrrOecuuGNsOymPzW3PSv1Kb2CHalyaIeQ4Hy3GOpyfr9lzZ5EPT+XUdK8uewuwWK8hb1Err+a7Nd1ZLMNaWKotpva+nbl7i5CocWpX0729u8BJz5rvPqOcZs9aeKZq+y1qNXIWKbEWKpPsT3i9JnZS2c+Jl+9r/2v2VhtncpyBy+GtEoWlHDJB9xk5zgC2KYeazZLbAAYrNe9zYDnOAJClHGo2jTOAwcrheDkAwFIONZvGGcCgcfwyAORj32s2jTOAwWoSo41SLgMA2KwcajaNM4DBappCTZNQhBMuAwDYrBxqNo0zgMHK4UQTAMBSDjWbxvmCjpqRDhfnc4tni345zl4maG2E+np5oV5+o5URLUnj0s7NrGRnY3q33eQEY3q5nF7uppXbWXp5oT1zmv0c6Fufu5dHWjd2rqaXtdwa2dze9Xu3q150z208PzS3PTePDDJBsVlH81qH8/M1e97zE6s+NVuSmsrLYjZe304A/sJPFDZ5UV9WNn9R2G1F4bxfuXXPu23G4+Ll+rs12ciI9q5bkqoe+/fm5nVzReVk88vuA+yd28MH5VHyrnKo2SyAso6Vpg/sAa8xxqm0TFC38t+mhrAACoCc7H/NZgGUdVgABRiEHL7222csgAJgm3Ko2RyqAWCwcvjaDwCwlEPNpnEGMFg5FGEAwFIONZvGGcBgNZKahBWm9v8oXgAYvhxqNo0zgMHK4dMLAMBSDjWbxhnAcCUWYSelCgCwDRnUbBrnCzqc1roxXZfjbMeDlWW/HOdR5WTfGpmhrfO1h5cD7Wb6Fvb+GyN3s3S+cBkVdpZy6WRUu4ys5qaaqDSyM70MaSfGtVdOs3v9Tga1F/dj3W7Jf8yt/XvPJyvH2RpbJ4cztLFZL05rTY7Xv9X1yXKunZpeO7m59cJ+jU2MnOdFa2fuVoVdm7wM6Unp1PQeGfKtc92NU/O9/VdWTVetsunOoHbfTZz3aTdr2akz1ttZa8xbkkaLY3vnjsZZz8Hi3e5xk56/n0PNJsd5ncxCQb2gfdwar3ncJa9px1LbFu4fjqeXw3lDznHuuwAK8mM1zdgPOdRscpzXIccZGIQcjpfbZ+Q4A9imHGo2h2oAGKwcvvYDACzlULNpnAEMVg6fXgAAlnKo2TTOAAaNphgA8rHvNZvGGcBg5fC1HwBgKYeaTeMMYLBy+NoPALCUQ82mcQYwWE2z/Em5HABgt3Ko2eQ4r2OEgh7OKr04PR8UPpvbmYKVE5bvrCehg1H3BWpnEZBF7czNCXX3zAv7aVSX3dmZI2NM8hfLqLwsxx7roxSNvdiGlyPpLhLSZ4ETR9HY21ay7/emtMPw+2RoVk6Waj3vDssfGWPr5FCE99kQcpxvHBcaH51/rTU9c5y9Ra3GtbeolX3987q7Pkyc17f3nuAtgOS9vq2abi2OkjJeOwukbJRzu6ueC5x4yoVRG3t+xNp3wS1r+8KZ2+QCdTuHmk2O8zrkOAOD0CYeL8ehGuuR4wxgm3Ko2RyqAWCwWrVqEyps2/ejIgBAbznUbBpnAIOVw4kmAIClHGo2jTOAwbrs4+VCCFck/StJXyDpBUl/Lcb46TOXeZ+k+0/GJektMcbnkycNALepHGo2jTOAwdrApxf/i6SnYoz/ewjhf5b0v0n622cu87WS/kyM8TPpMwUA5FCzd3j6KgBs1umJJt7PBYrw/ZI+fPL//17St64OhhBKSV8h6ZEQwuMhhL9+WbcFAIYuh5rNJ84ABqvPpxchhO+W9I4zv35G0ulXeC9IesWZ8Tsk/VNJ75VUSfqPIYRfizH+xkXmDQC3oxxqNo3zBT17rdBidP6D+oVzvM3YyGGWpJHzSHg50eNR9zPteG5/sXAwsjNBF0625aSyt5813ZnAi8rOC66dPOFR4WQCe1+qGMNe1mnlXLeXV+zlZqqZmcNeVrO5rewnbOE85mWPMzNK53ZV8+PubRd2tvZZbSu1CdlG625OjPHHJf346u9CCP9W0l0n/7xL0ufObHZD0vtijDdOLv/Lkl4ricZ5R669KGly/vfemftetn5VOjXdqfmTkb3/uuqe33TNe9CqcW2/vhetvf3cyVIeGXW5cbZtemZMy35L8Ouqta1zv3g117lpdk6zJBlZyaXXZDi8HGePta6Ad7/UsxvJ15NDzWYBlHWsNP09ZDXNGKY+TfPt5PRrvZTLJXpc0psk/RdJf1bSR86Mf6Wkfx1C+BNa/ll2v6R/mbz3PTOEBVAA5COHms0CKOuwAAowCBs40eRHJf3LEMJHJU0lPShJIYR3Sno6xvizIYQPSnpS0kzST8YYP3bxme8HFkABsE051GwO1QAwWE3Tqkn4aCLlMpJ08nXeW9f8/r0r//+PJf3j9FkCAKQ8ajaNM4DhSj37mqOdAGD3MqjZNM4ABiuHVagAAEs51GwaZwCD1bStmoQKm3IZAMBm5VCzaZwBDNYy2ijtcgCA3cqhZruN88mqKu/XMtfuWNLDMcanV8b/iqTvk7SQ9GiM8Uc3NFcAuJC2bd283tPLDQU1G0CucqjZKZ84PyDpIMb4uhDCfZLeI+ktK+PvlvTVkq5L+v9DCD8dY3xu3Y6GkOP8/AuNmvp8hm7j/IV0cGAnozuZ8TqYdIfCe4urXJnYT7B54yyuYgTxS9LUWcRkVHXfOdbiKJI0ce6YhbNASlXaT/FF0b197S1w4i2+UtgLfdSNvZiHuRBAaS+w4i1w4rHC7iX1+nO/dBaGsRY5KRf2fXpW0/ivzdPLDcil1ewh5Di/8EKrds2CIIuF/RyuKrsu1rWzwMnYHj9y3n2t7b0FsUbO3ObO3Ca1t8BKd31YtHZNHpf263/m1OyJuyhW9/at85hWrT03bxGR1qltXt3ss8hJ6S3O4mX/O7fNXADFqcv17NC+7hU51OyUxvmldb5jjE+GEO49M/4bWi5hOJdUyDjXkRxn4HJ4qxJiqWlaLS4x2igTl1azyXEGsE051OyUtSnv1s11viVpEUJYbbh/U9KvS/qYpJ+PMZ5dzhAAdqJtW7VNws+ADtUQNRtApnKo2SmN8zXdXOdbksoY41ySQghfI+nPSfpSSV8i6QtCCOeCpgFgF06jjVJ+BoSaDSBLOdTslMb5dJ1vnRwv99TK2POSDiUdxhgXkv5Q0isve5IAcCtOV6FK+RkQajaALOVQs1OOcX5M0htDCE9oeTzcQyGEByXdGWN8JITwY5I+GkKYSvotST+xsdkCwAXkcIb2BlCzAWQph5rtNs4xxkbS28/8+hMr4/9c0j+/5HkBQH9NWiZozxCSvULNBpCtDGo2C6AAGKymTVthalhHagBAnnKo2VttnIeQ43zt2lSL4nzOrJcJOpnY2ZMHV+zx+bz7cPSDAzub0sv89PJGJyPntjk50sfG3Cdr8lVXea+fhZMhPXZyOWVsbuYoS2oLe7wo7ckX3SlgkqTS+LN7Xo3tXM3Wnpub0+zwti+MzFAvi7mcHXWPzY/tiZ3RKvFrP+exuF0NIcf5c88fa9qef05Np/ZzuHIy5Gsn69ir+f64UTedmm3l/kvSsfd+NHZum3HbD0ZOTa6d63ZqeuM8Lta4V7O9bH6vYxotLlafLsLLYS6ciFLv/caq2ZKd1VzO7TUJKqOmn5VDzd5q40yOM3A5+ja+t4vUk0gGdnLgpSHHGcA25VCzOVQDwGClxhYN69xAAMhTDjWbxhnAYJ2G5adcDgCwWznUbBpnAIPVtm3SiSYDi6MDgCzlULNpnAEM1unyrSmXAwDsVg41m8YZwGDl8LUfAGAph5pN4wxgsJaZoGmXAwDsVg41m8b5gqbTRvXx+Siw2bGT/6hxr+u1VtK5cSgdHHRnV45Hzr6dzF85ecaeiXH988bJoG7sTE9PWdiZn6Wx/6p0MqadTNCmtefeyn7OWPtfFLWZ61l6X2M5431ymiU7q7la2Jmfxax73BpbJ4dPL7BZz33mRR0eXT/3e+8xr5084tLJE756h13zj47s7a9c7S6c8wN7btOZXZvmi37jM+O+8Wr6ZOHkMDvrArj5+sb4kSaalN01ZFTacyuqfnWicJbEs8bdHGcvp9nLz3eymK3aWx7fsLc9PP/665JDzWYBlHWsNP09ZDXNGCaviGJpGW2UcrzcFiaToSEsgAKcsppm7IccajYLoKzDAijAILRtWpg+JweuxwIoALYph5rNoRoABqtZNGoW/iemKZcBAGxWDjWbxhnAYOVwvBwAYCmHmk3jDGCwmsQw/ZTLAAA2K4eaTeMMYLByCNMHACzlULNpnAEMV9umFVgaZwDYvQxqNo0zgMFqGiWdod1wbiAA7FwONZsc53WMUNDp8VzV0fmFK2ZTezEL73kwn9sPxXxuPUvsFU7atm/OsxM47yygYv5hOO43t6K279iqcRZAMRZIqZ3bvXAWOKkKO2u5dRZnsYL8F2WtqvEW3bl1fRY4kaSy6R4vZ0f2tkYQvxfif1YOJ5rssyHkOB+9eKSmPTz3+/nMfv2MnJWjytKpDzP7NTS5ai+Qslh0PyfnM/v9YjLxFo7qt7CUXfOduuYtAlLYc3PWnTIXAikL+7pLZ26Nc781zty9mm9v7NxvXs32FjiZ3npdlrOtZsf2+IocajY5zuuQ44w9t8mmeUjaxK/9OMZ5PXKcAWxTDjWbQzUADFbbNmoTvtPzPgUDAGxeDjWbxhnAYDVN2ipUKZcBAGxWDjWbxhnAcGVwhjYA4EQGNZvGGcBg5XCiCQBgKYeaTeMMYLDaJq3AcogzAOxeDjWbxhnAYDVq1CRU2EZ0zgCwaznUbBrnC+r6GmF2bMeDVZWd37hY2E+CqRGhWNf9spCr0t5+5kR+Fk6wZl0ZecTOX5a1l5XqZUg7Wcyb2lay80QlqfByOY3tm7LSaN6djWnlKC/H7eerl9NcLexMUCuruTw+n6n7MjNj3zNynHEx06OZVJx/Ti0Wdu6tl8Ps5jxX9nO1cY7R7POc9DKm53O75k9n9vbW29nceb+w3g8kf12ApkfNd9cc6FnzPV7NL9vu55w1JvkZ94VVV+XnPOvoRvfYjRftbQ+dmr8ih5rNAijrWGn6wB6wmmbclEMR3mdDWAAFQD5yqNksgLIOC6AAg5BDmP4+YwEUANuUQ83mUA0Ag9U2jZqUMP2EywAANiuHmk3jDGCw2jbxDG0+cAaAncuhZtM4AxisZrFQ45wEdno5AMBu5VCzaZwBDFYOJ5oAAJZyqNk0zgAGq2kTM0FZAQUAdi6Hmk3jfEEHV0e6csf5/M6jQzsD0ctpfvH57txbSRpNuh+qG9enGo27wzOvXh2b+5bsPNKmtTM/vczQI/OusfddFE7upZNB7eV2mtft5TA742Vhf5VUO1nI1nhbFBrNunM1KyeuruyRwyz1zAR1tjUzQa0s0XXatE8vOMh5uEbjWqPJ+Ro30kjXn3uhc7vZsf08HV+ZmOPHR/Zr8ODqgTluPW+99xNP47wmFo3dGrRt9/uNl7PcJ/df8mv+2AiZvt4c6Gpt1FXv/cIb9rL5nTpTNN3vGV5Os5fDXB47tXNq13yrLs8//Wlz08U1J+d5VQY1mxzndTILBbWaZgyT1TTjpuXXfilnaNM4rzPkHGeracYwWU0z9kMONZsc53XIcQYGIYfj5fYZOc4AtimHms2hGgAGq20btQnHwqVcBgCwWTnUbBpnAIPVtK17POfp5QAAu5VDzaZxBjBYbdMkHi/HJ84AsGs51OykxjmE8PWSfijG+C1nfv9mSd8vaS7p0RjjBy59hgBwi9omcRWqC9bgEMJ3SHprjPHBNWN/Q9LbtKyLPxBj/PmL7f1yULcB5CaHmm3nuix3+Pck/QtJB2d+P5L0w5K+TdI3S/qeEMKrUm8EAGzcyfFy3s9FqnAI4X2SflBr6mcI4dWS/ldJ3yDpz0j6wRCCnVu2AdRtAFnKoGanfOL8W5L+gqQPnvn9V0l6Osb43MmVf1TSN0n6Nwn7zFElSYfXn1k7eHTdjgerR3ZkXDO3nwTzafdDNR87f//M7JxmLezx2cTe/+LQDrccGbs/cqZ2NLb/8pyM7PvtaGRnX06q7nFrTJJGxdzed2nnuI7nh+a4leM8crZ1c5rdTFB77l6Os5k5OrOv28pqfub566f/m5TBOJ8+m/TpxWL+XMruTj0h6d9p+QnFWX9S0uMxxmNJxyGEpyV9jaRfvcgVXALq9slzZHq4PmN2dmRny86n9vO0KOx8/GZuP0VL2X9PlWV3znMztwtn0dpzWxzbc2tndmuwOOx+T5iO7feDmR1frenEfr0ejm+95l9xavqksuvaQWlnHY8buy5PvJpvxIzWM3vbysveP7xujmtm13wddl+/l9P8zAsvbevW7Rxqtts4xxg/FEL4kjVDd0t6fuXfL0h6RcduCklqMzkB5+T2/tczv36NJP3Khx7e+nwAnPMaLZvDLtckPfe5T/7QKy+wz+dOtpMkhRC+W9I7zlzmoRjjvw4hfEvHPi5SFzfmEup2VjX7O4ya/du/8ne3Ph8Aa1l1O5ua3efkwGuS7lr5912SPtdjf/vk9yR96cl/T/2qpG+U9AeS7CXhAGxKpWXxNT/BjTE+G0L4ci2LYqprMcZnV/bx45J+/ILz2/e6uO/zu1XUbGB/uXU7p5rdp3H+uKSvCCHcI+m6ll/3vbvH/vZGjHEu6XfO/O5Y0kd3MiEAq6xPml9yUlCfdS94uf6LpP8jhHAgaaLloRG/ueU5WAZZt6nZwN5z63YuNfvCjXMI4UFJd8YYHwkhvFPSL2l5wPWjMcZPXXzOAJC3k1r4dIzxZ0MIPyLpI1rWxX8YY7QPPtwC6jYA3NSnZhe5HMO2LSGEUtL7Jb1W0rGkh2OMT6+M72WUU8K8/7Kkv6PlvJ+S9DdjjDsNr/XmvHK5RyQ9G2N815aneE7C/fx1kt6r5TGi/03SX92Txsmb91+R9H1afqX9aIzxR3cy0TWIVYMnx7pNzd4Oavb2Db1mu3F0t6EHJB3EGF8n6V2S3nM6sOdRTta8r0j6AUl/Ksb4DVoe+P7tO5nly3XO+VQI4W2S/vi2J2aw7udC0ge0PBnhfkkflvTFO5nled59/W5J36plJM/3hRAucoLGxhCrhkQ51m1q9nZQs7fodqjZNM7nnb54FGN8UtK9K2MvRTnFGKdaHj/3Tduf4lrWvI8lvT7GeJp1U0va+V/UsuesEMLrJX29pB/b/tQ6WXP+SkmflfSOEMJ/knRPjDFuf4prmfe1pN/Q8s35QMtPXvblq6jTWLWz9vm1iO3LsW5Ts7eDmr1dg6/ZNM7nnY0mWYQQ6o6xnURNdeicd4yxiTE+I0khhO+VdKek/7D9KZ7TOecQwmsk/SNJf2sXEzNYz4/Pl/R6Sf9My08C/nQI4Q1bnl8Xa97S8mSIX5f0MUk/H2Pci6SFGOOHJK0LX93n1yK2L8e6Tc3eDmr2Ft0ONZvG+byz0STlyRnb68b2KcrJmrdCCGUI4d2S3ijpL8YY9+GvU2vOb9WyqP2ill9TPRhC+K7tTm8ta86f1fIv6o/HGGdaflpw9lOCXemcdwjhayT9OS3jvL5E0heEEN669RlezD6/FrF9OdZtavZ2ULP3w76+Di+Mxvm8xyW9SZJCCPdpeVLGqZeinEIIYy2/ZvjP25/iWta8peVXZweSHlj5+m/XOuccY/yRGOPXnpxc8H9J+qkY40/sYpJnWPfzb0u68ySLUlpmyH5su9PrZM37eUmHkg5jjAtJfyhpL46XM+zzaxHbl2PdpmZvBzV7P+zr6/DCSNU4Y+VM1q/R8rihhyT9j7oZ5XR6VuhplNP/s7PJrrDmLenXTn4+opvHQb0vxvjYDqb6Eu++Xrncd0n6Y3t2hnbX8+MNWr5pFJKeiDH+7Z1NdkXCvN8u6a9Lmmp5jNrfODkObedOVsD76RjjfWdi1fbytYjty7FuU7O3g5q9fUOv2TTOAAAAQAIO1QAAAAAS0DgDAAAACWicAQAAgAQ0zgAAAEACGmcAAAAgAY0zAAAAkIDGGQAAAEhA4wwAAAAk+O9Ju7wUrK50wAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f49134bf908>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from cooltools import saddle\n",
    "\n",
    "QUANTILE_BINNING = True\n",
    "\n",
    "binedges = {}\n",
    "digitized = {}\n",
    "hist = {}\n",
    "sums = {}\n",
    "counts = {}\n",
    "saddledata = {}\n",
    "\n",
    "gs = plt.GridSpec(nrows=1, ncols=2)\n",
    "fig = plt.figure(figsize=(12, 6))\n",
    "histbins = 30\n",
    "\n",
    "for i, cond in enumerate(['WT', 'dN']):\n",
    "    exp = pd.read_table(f'data/{long_names[cond]}.{binsize//1000}kb.expected.cis.tsv')\n",
    "    eig = pd.read_table(f'data/{long_names[cond]}.{binsize//1000}kb.eigs.cis.vecs.txt')\n",
    "\n",
    "    # Determine how to bin the range of the E1 signal\n",
    "    if QUANTILE_BINNING:\n",
    "        q_binedges = np.linspace(0, 1, histbins)\n",
    "        binedges[cond] = saddle.quantile(eig['E1'], q_binedges)\n",
    "    else:\n",
    "        qlo, qhi = saddle.quantile(eig['E1'], [0.02, 0.98])  # trim outliers\n",
    "        binedges[cond] = np.linspace(qlo, qhi, histbins)\n",
    "\n",
    "    # Digitize the signal into integers\n",
    "    digitized[cond], hist[cond] = saddle.digitize_track(\n",
    "        binedges[cond], \n",
    "        track=(eig, 'E1'))\n",
    "    \n",
    "    # Construct a function that fetches and calculates observed/expected\n",
    "    getmatrix = saddle.make_cis_obsexp_fetcher(clrs[cond], (exp, 'balanced.avg'))\n",
    "    \n",
    "    # Build the saddle histogram\n",
    "    sums[cond], counts[cond] = saddle.make_saddle(\n",
    "        getmatrix, \n",
    "        binedges[cond],\n",
    "        (digitized[cond], 'E1.d'), \n",
    "        contact_type='cis')\n",
    "    saddledata[cond] = sums[cond] / counts[cond]\n",
    "    \n",
    "    # Make the saddle plot\n",
    "    g = saddle.saddleplot(\n",
    "        q_binedges if QUANTILE_BINNING else binedges[cond],\n",
    "        hist[cond], \n",
    "        np.log10(saddledata[cond]), \n",
    "        color=colors[cond],\n",
    "        heatmap_kws={'vmin': -1, 'vmax': 1}, \n",
    "        fig=fig, subplot_spec=gs[i])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-05-08T02:20:44.655970Z",
     "start_time": "2018-05-08T02:20:44.209533Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/net/proteome/home/nezar/local/devel/cooltools/cooltools/saddle.py:443: RuntimeWarning: invalid value encountered in double_scalars\n",
      "  intra = intra_sum / intra_count\n",
      "/net/proteome/home/nezar/local/devel/cooltools/cooltools/saddle.py:447: RuntimeWarning: invalid value encountered in double_scalars\n",
      "  inter = inter_sum / inter_count\n",
      "/home/nezar/miniconda3/envs/py36/lib/python3.6/site-packages/ipykernel_launcher.py:22: RuntimeWarning: invalid value encountered in true_divide\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x7f490f606630>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4911472e48>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "strength = {\n",
    "    cond: saddle.saddle_strength(sums[cond], counts[cond]) \n",
    "        for cond in ['WT', 'dN']\n",
    "}\n",
    "\n",
    "gs = plt.GridSpec(nrows=1, ncols=2)\n",
    "plt.figure(figsize=(14, 6))\n",
    "\n",
    "plt.subplot(gs[0])\n",
    "x = np.arange(histbins + 2)\n",
    "for cond in ['WT', 'dN']:\n",
    "    plt.step(x[:-1], strength[cond], where='pre', color=colors[cond], label=long_names[cond])\n",
    "\n",
    "plt.legend()\n",
    "plt.xlabel('extent')\n",
    "plt.ylabel('(AA + BB) / (AB + BA)')\n",
    "plt.title('saddle strength profile')\n",
    "plt.axhline(0, c='grey', ls='--', lw=1)\n",
    "plt.xlim(0, len(x)//2)\n",
    "\n",
    "plt.subplot(gs[1])\n",
    "plt.step(x[:-1], strength['dN'] / strength['WT'], where='pre', c='k')\n",
    "plt.axhline(1, c='grey', ls='--', lw=1)\n",
    "plt.xlim(0, len(x)//2)\n",
    "plt.xlabel('extent')\n",
    "plt.ylabel('enrichment')\n",
    "plt.title('NipblKO / Wildtype')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.5"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": "block",
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
